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Dictionary of the History of Ideas

Studies of Selected Pivotal Ideas
  
  
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BIBLIOGRAPHY

The works which mark the principal historical stages of
axiomatization have been indicated in the course of the
article. Among contemporary works which deal with axio-
matics, without being themselves axiomatic, are the follow-
ing: H. Scholz, Die Axiomatik der Alten (1930-31), reprinted
in Mathesis universalis (Basel-Stuttgart, 1961); F. Gonseth,
Les Mathématiques et la réalité, essai sur la méthode axio-
matique
(Paris, 1936); J. Cavaillès, Méthode axiomatique et
formalisme
(Paris, 1938); G. G. Granger, Pensée formelle et
sciences de l'homme
(Paris, 1960), esp. Ch. VI; W. and M.
Kneale, The Development of Logic (Oxford, 1962). For an
introductory exposition: R. Blanché, L'axiomatique (Paris,
1955), trans. as Axiomatics (London, 1962). Also A. Tarski,
Introduction to Logic and to the Methodology of the Deduc-
tive Sciences,
3rd ed. rev. (New York, 1965), pp. 140, 234ff;
R. L. Wilder, Introduction to the Foundations of Mathe-
matics
(New York, 1952); F. Enriques, Historic Development
of Logic,
trans. J. Rosenthal (New York, 1933).

ROBERT BLANCHÉ

[See also Abstraction in the Formation of Concepts; Mathe-
matical Rigor; Number; Structuralism.
]